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Simplifying 46 = 34 + -2(x + -4) Reorder the terms: 46 = 34 + -2(-4 + x) 46 = 34 + (-4 * -2 + x * -2) 46 = 34 + (8 + -2x) Combine like terms: 34 + 8 = 42 46 = 42 + -2x Solving 46 = 42 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 46 + 2x = 42 + -2x + 2x Combine like terms: -2x + 2x = 0 46 + 2x = 42 + 0 46 + 2x = 42 Add '-46' to each side of the equation. 46 + -46 + 2x = 42 + -46 Combine like terms: 46 + -46 = 0 0 + 2x = 42 + -46 2x = 42 + -46 Combine like terms: 42 + -46 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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